Solve the problem.A bakery sells three types of cakes, each requiring the amount of ingredients shown.
To fill its orders for these cakes, the bakery used 72 cups of flour, 48 cups of sugar, and 57 eggs. How many cakes of each type were made?
A. 35 cake I, 8 cake II, 12 cake III
B. 9 cake I, 8 cake II, 11 cake III
C. 13 cake I, 8 cake II, 9 cake III
D. 11 cake I, 8 cake II, 9 cake III
Answer: D
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Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number x.9x + y = 239x + y = 77
A. (18, 5) B. Inconsistent, ? C. Dependent, (x, - 9x + 23) D. (21, -166)
Solve the problem.Find the center of mass of the region common to the spheres ? = 2 cos ? and ? = 2.
A. (,
,
) =
B. (,
,
) =
C. (,
,
) =
D. (,
,
) =
Solve the inequality, then graph the solution.-14 ? -2c + 2 < -2
A. 2 < c ? 8
B. 2 ? c < 8
C. -8 < c ? -2
D. -8 ? c < -2
Solve the problem. Round your answer to the nearest tenth unless indicated otherwise.Andrea's sleeping bag is designed for camping in temperatures of 30°C or warmer. For what Fahrenheit temperatures is her sleeping bag designed? Round to the nearest tenth of a degree.
A. 86.0° F or warmer B. 111.6° F or warmer C. 15.3° F or warmer D. 79.6° F or warmer